In general context, there is no special requirements to install new Office system and computers that currently can run Office 2010, can run Office 2013. Although you should check first (just to be safe) the minimum system requirements in prior to install Office 2013 product lineup.

Here’s a breakdown below:

Computer and processor: 1 Ghz or greater x86/x64 Processor with SSE2 instruction set

Memory: 1 GB RAM (32 Bit) /2 GB RAM (64 Bit)

Hard disk: 3.5 GB free disk space

Operating System: Windows 7 or newer, either 32-bit or 64-bit; Windows Server 2008 R2 or newer with .Net 3.5 or greater. To use with Windows 8 you must be running the Release Preview version or higher. Get the Release Preview.